Chebyshev Partition-Based Modulation Technique Applied to Power Converters

In this paper, a new modulation technique is proposed for three-phase voltage-source inverters (VSIs). It is based on time partition obtained by Chebyshev polynomials' zeros of the first kind which are used to build up nonuniform recursive sampling. A detailed mathematical description of the method and its implementation are given. Obtained results show that the proposed technique gives a total harmonic distortion factor lesser than conventional sinusoidal pulsewidth modulation under the same loading conditions. By comparing results obtained by proposed technique with results carried out by the wavelet modulation method, it is shown that they are very close. The proposed modulation returns lesser switching losses in comparison to sinusoidal pulsewidth modulation and space vector modulation. A MATLAB code that generates switching pulses to activate a Simulink model of the three-phase VSIs is developed to implement the proposed Chebyshev modulation technique. Experiments verify the correctness of the proposed method.